Asymptotic Analysis in the Prandtl’ Problem

Abstract

On solvability of a three-point boundary value problem for second order nonlinear functional differential equations AIP Conf. Abstract.A long-standing question on possibility of construction of the PrandtF problem classic solution without some kind of kinematic or static hypotheses as well as on an existence of the other, "non-classic", solutions which the Prandtl' hypothesis is not correct for (and which cannot be verified in real experiment), is discussed and resolved. On the basis of asymptotic analysis with natural low geometric parameter, the exact solution (in sense of finite number of asymptotic terms) coinciding with the generaUzed PrandtF solution in case of arbitrary plate roughness coefficient, is obtained. A nonapplicabUity of this asymptotic near the middle cross-section of layer is precisely shown.